%I #12 Apr 20 2019 09:16:15
%S 1,0,10,42,170,682,2730,10922,43690,174762,699050,2796202,11184810,
%T 44739242,178956970,715827882,2863311530,11453246122,45812984490,
%U 183251937962,733007751850,2932031007402,11728124029610,46912496118442
%N Smallest numbers having in binary representation exactly n maximal groups of consecutive zeros.
%C A087116(a(n))=n and A087116(k)<n for k<a(n);
%C For n>1, a(n) = A020988(n-1).
%H Harvey P. Dale, <a href="/A087120/b087120.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%F a(0)=1, a(1)=0, a(2)=10, a(n)=4*a(n-1)+2.
%t Join[{1,0},NestList[4#+2&,10,25]] (* _Harvey P. Dale_, Apr 20 2019 *)
%Y Cf. A087118, A023416, A007088.
%K nonn
%O 0,3
%A _Reinhard Zumkeller_, Aug 14 2003
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